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Elliptic stable envelope for Hilbert scheme of points in the plane

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arxiv 1804.08779 v4 pith:UJ5U4HV7 submitted 2018-04-23 math.AG hep-thmath-phmath.MPmath.RT

classification math.AGhep-thmath-phmath.MPmath.RT
keywords envelopestableellipticequivariantformulahilbertplanepoints
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abstract

We find an explicit formula for the elliptic stable envelope in the case of the Hilbert scheme of points on a complex plane. The formula has a structure of a sum over trees in Young diagrams. In the limit we obtain the formulas for the stable envelope in equivariant $K$-theory (with arbitrary slope) and equivariant cohomology.

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Cited by 2 Pith papers

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    Weyl group reflections act as Seiberg-like dualities on A_n quiver gauge theories, mapping stability chambers to each other while conjecturally leaving the quiver Yangian Y(sl_{n+1}) invariant.

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